Statistics Examples

Find the Perpendicular Line
Step 1
Use the slope-intercept form to find the slope.
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Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Using the slope-intercept form, the slope is .
Step 2
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Step 3
Simplify to find the slope of the perpendicular line.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Cancel the common factor.
Step 3.1.2
Rewrite the expression.
Step 3.2
Multiply by .
Step 4
Find the equation of the perpendicular line using the point-slope formula.
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Step 4.1
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 4.2
Simplify the equation and keep it in point-slope form.
Step 5
Solve for .
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Step 5.1
Simplify .
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Step 5.1.1
Step 5.1.2
Simplify by adding zeros.
Step 5.1.3
Apply the distributive property.
Step 5.1.4
Simplify the expression.
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Rewrite as .
Multiply by .
Step 5.2
Move all terms not containing to the right side of the equation.
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Step 5.2.1
Add to both sides of the equation.
Step 5.2.2
Add and .
Step 6
Enter YOUR Problem
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